9 papers
From Dimension Drop to Aperiodic Order
Natalia Jurga, Dmytro Karvatskyi
We consider the parametrised family of sets for $(x,y) \in…
Self-projective sets
Argyrios Christodoulou, Natalia Jurga
Self-projective sets are natural fractal sets which describe the action of a semigroup of matrices on projective space. In recent years there has been growing interest in studying…
Parabolic carpets
Jonathan M Fraser, Natalia Jurga
We introduce and study a family of non-conformal and non-uniformly contracting iterated function systems. We refer to the attractors of such systems as parabolic carpets. Roughly s…
Ledrappier-Young formulae for a family of nonlinear attractors
Natalia Jurga, Lawrence D. Lee
We study a natural class of invariant measures supported on the attractors of a family of nonlinear, non-conformal iterated function systems introduced by Falconer, Fraser and Lee.…
Box dimensions of -invariant sets
Jonathan M. Fraser, Natalia Jurga
We study the box dimensions of sets invariant under the toral endomorphism for integers . The basic example…
The Hausdorff dimension of self-projective sets
Argyrios Christodoulou, Natalia Jurga
Given a finite set we study the dimension of the attractor of the iterated function system induced by the projecti…